2) Mammograms are routinely used for screening for breast cancer, and if they fi

Question

2) Mammograms are routinely used for screening for breast cancer, and if they find suspicious growths this will lead to an invasive biopsy. Given a woman has breast cancer, there is a90%o chance that the mammogram will detect suspicious growths. If the woman does not have breast cancer, there is an 8 %o chance that the mammogram will detect something suspicious that will result in an unnecessary invasive biopsy. Assume that one-in-twenty women who go for a mammogftrm in a given year really have breast cancer. a) What proportion of women will have an invasive biopy. b) What proportion of invasive biopsies were unnecessary?

Explanation / Answer

a)proportion of women will have an invasive biopy=0.05*0.9+0.95*0.08=0.1210

b) proportion of invasive biopsies were unnecessary =0.95*0.08/0.1210=0.6281

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